Subclasses of α-spirallike functions associated with Ruscheweyh derivatives

Making use of the Ruscheweyh derivatives, we introduce the subclasses T(n,α,λ)(n∈{0,1,2,3,…},−π/2<α<π/2,and0≤λ≤cos2α) of functions f(z)=z+∑k=2∞akzk which are analytic in |z|<1. Subordination and inclusion relations are obtained. The radius of α-spirallikeness of order ρ is calculated. A con...

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Bibliographic Details
Main Authors: Neng Xu, Dinggong Yang
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/39840